{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4QS356UK4XD4IFCIRS2YHTHJKW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2a5d42641d22cc8ccd9f01806026836a5464e3ae3afe276ad1f4d60ff1602307","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T09:32:05Z","title_canon_sha256":"713b94075651364d7ce18943046b3e74e2fca675fef90800a2737b8ae676e24d"},"schema_version":"1.0","source":{"id":"1608.02741","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02741","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02741v3","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02741","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"4QS356UK4XD4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4QS356UK4XD4IFCI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4QS356UK","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:310ffddd0038155790cd2efd803a584a811de7d9115363cf6c92ab422a251b3f","target":"graph","created_at":"2026-05-18T00:59:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Several results regarding the stability and the stabilization of linear impulsive positive systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained. The proposed stability conditions characterize the pointwise decrease of a linear copositive Lyapunov function and are formulated in terms of finite-dimensional or semi-infinite linear programs. To be applicable to uncertain systems and to control design, a lifting approach introducing a clock-variable is then considered in order to make the conditions affine in the matrices of the system. The resulting stability and s","authors_text":"Corentin Briat","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T09:32:05Z","title":"Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02741","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:46451ba3608f40bc10ccf668a6907d886dde629680c1207ef2f3c40554d9e850","target":"record","created_at":"2026-05-18T00:59:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2a5d42641d22cc8ccd9f01806026836a5464e3ae3afe276ad1f4d60ff1602307","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T09:32:05Z","title_canon_sha256":"713b94075651364d7ce18943046b3e74e2fca675fef90800a2737b8ae676e24d"},"schema_version":"1.0","source":{"id":"1608.02741","kind":"arxiv","version":3}},"canonical_sha256":"e425befa8ae5c7c414488cb583cce9558156c14509ef1308cd656f66daacd6eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e425befa8ae5c7c414488cb583cce9558156c14509ef1308cd656f66daacd6eb","first_computed_at":"2026-05-18T00:59:57.592412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:57.592412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5/l7n5KZO/wAVYKdiNw2Hw1+4pFlU9F9ZZaiupxpZObVyL2TKmqSP96dbseK/YesA0pnz0nF8NbpjuQirT0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:57.593020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02741","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46451ba3608f40bc10ccf668a6907d886dde629680c1207ef2f3c40554d9e850","sha256:310ffddd0038155790cd2efd803a584a811de7d9115363cf6c92ab422a251b3f"],"state_sha256":"6eb6b4c67da4e2331547a2434be3bd17b8504764e98f12ce825afc054ab6b4ff"}